The following information was submitted:
Transactions: WSEAS Transactions
Transactions ID Number: 18-110
Full Name: Elsa Moreira
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Age: ON
Sex: Female
Address: Campus Caparica, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa
Country: PORTUGAL
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E-mail address: efnm@fct.unl.pt
Other E-mails: elsamor@gmail.com
Title of the Paper: The unbalanced case of multi-treatment regression analysis. Application to time evolution of heavy metals concentration in a electrodialitic removal process
Authors as they appear in the Paper: Elsa E. Moreira and João T. Mexia
Email addresses of all the authors: efnm@fct.unl.pt, jtm@fct.unl.pt
Number of paper pages: 10
Abstract: In multi-treatment regression analysis, instead of a sample for each treatment of a linear model, there is a linear regression in the same variables. Then, instead of the influence of the treatments on the sample mean values, the influence on regression coefficients is studied. ANOVA algorithms and multiple comparison methods are adapted to perform the comparison between the coefficients of different regressions. When data is unbalanced, the regression matrices differs between regressions. This problem is solved through the use of a block-wise diagonal covariance matrix in the ANOVA procedures. The method was applied to data from several experiments of electrodialytic removal of 3 heavy metals from contaminated waste materials. The different experimental conditions were considered as different treatments of a one-way layout. A polynomial regression was fitted to each metal concentration in the electrolytes through time. Aiming to choose the best treatment in jointl!
y removing the 3 metals, the experiments were analyzed under the unbalanced case of multi-treatment regression analysis. Results point to the choice of treatment 1.
Keywords: ANOVA, Environmental remediation, Multiple regression, Scheffé multiple comparison, Unbalanced data
EXTENSION of the file: .pdf
Special (Invited) Session: Multi-treatment regression analysis: The unbalanced case
Organizer of the Session: 303-212
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